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Verdich [7]
3 years ago
8

Which is the greatest common factor of 18 and 54?

Mathematics
2 answers:
AysviL [449]3 years ago
6 0

Answer:

18

Step-by-step explanation:

18 can be divided by 18 =1

54 divided by 18 = 3

irina1246 [14]3 years ago
3 0

Answer:

18

Step-by-step explanation:

18x1= 18

18x3=54

That is the GCF between the two

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Write the equation of a line that is perpendicular to the given line that passes through the given point.
ipn [44]
<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: \frac{7}{3}

new slope: -\frac{3}{7}

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b

The y-intercept is -\frac{51}{7}.

Now, we can write the formula for the new line.

Slope-intercept form: y = -\frac{3}{7}x - \frac{51}{7}

Point-slope form: y - 9 = -\frac{3}{7}(x + 4)

3 0
3 years ago
Explain how to use the distributive property to find the product (3) ( 4 1 5 )
Masja [62]

Answer:

1245

Step-by-step explanation:

Distribute the number 3 to each of the numbers in the second set of parentheses. Be careful to remember to add zeros to the number depending on which place holder the number is in.

Demonstration:

3 × 400

3 x 10

3 x 5

After solving each equation, add the total

1200 + 30 + 15 = 1245

3 0
3 years ago
Read 2 more answers
It’s 11:45 and you have an awesome appointment in 3 hours and 25 minutes. What time is your appointment? Please HELP!
stiks02 [169]

Answer: The time would be 3:00

There are 60 minute per hour. If it is 11:45, it's 25 minutes until 12:10. Once it is 12:10, the next hour (after 50 minutes) would be  1:00. so if you take 11:45 and add the 25 minutes from 3 hours and 25 minutes, it is 12:10 and you are left with 3 hours. 3 hours after 12:10 is 3:10

5 0
3 years ago
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0
2 years ago
Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f
ivolga24 [154]

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

5 0
3 years ago
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